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45094464 = 263279991
BaseRepresentation
bin1010110000000…
…1011001000000
310010212000222100
42230001121000
543021010324
64250310400
71055203512
oct254013100
9103760870
1045094464
1123500158
1213128400
13945b61c
145dbbbb2
153e5b4c9
hex2b01640

45094464 has 84 divisors (see below), whose sum is σ = 131023360. Its totient is φ = 14826240.

The previous prime is 45094457. The next prime is 45094471. The reversal of 45094464 is 46449054.

It is an interprime number because it is at equal distance from previous prime (45094457) and next prime (45094471).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45009 + ... + 45999.

Almost surely, 245094464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65511680).

45094464 is an abundant number, since it is smaller than the sum of its proper divisors (85928896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45094464 is a wasteful number, since it uses less digits than its factorization.

45094464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45094464 is about 6715.2411721397. The cubic root of 45094464 is about 355.9380441776.

The spelling of 45094464 in words is "forty-five million, ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 991 1264 1422 1896 1982 2528 2844 2973 3792 3964 5056 5688 5946 7584 7928 8919 11376 11892 15168 15856 17838 22752 23784 31712 35676 45504 47568 63424 71352 78289 95136 142704 156578 190272 234867 285408 313156 469734 570816 626312 704601 939468 1252624 1409202 1878936 2505248 2818404 3757872 5010496 5636808 7515744 11273616 15031488 22547232 45094464